1/3 Live NLHE Hand Breakdown - Looking for feedback

Hero has $800 stack. I’ve raised the previous 2 hands, simply due to having strong cards, so I view my image to be “loose” at start of this hand.

I look down at AsAh in UTG. Normally I raise to $10, however given my loose image and that $10 usually has been receiving several callers, I decide to raise to $20 in this instance. I end up getting calls from MP, Button, and BB.

POT: $81

Flop comes Ad7d8c. BB checks and I bet $35, targeting flush draws, straight draws, perhaps mid pocket pairs. Only MP calls.

POT: $151.

Turn is (Ad7d8c) -10d. Flush gets there, not worried about J9 or 97 for straight. I’m unsure of sizing here, but opt for half pot $75. MP 3-bets to $225. Only prior knowledge on this player is that his last 3-bet he had a set. I make the call for $150 more.

POT: $601.

River is (Ad7d8c10d) -3d. Just a disaster runout for top set. I check, he checks back and shows 8d8h for a flush. I flopped set over set, and he hit runner runner diamonds for a flush.

Asking for general feedback how I played this hand, particularly on sizings. Thanks.